document.write( "Question 889537: what is the point of intercept of 5x+6y<30 and 7x-8y>-56 ( ), ( ) help \n" ); document.write( "

Algebra.Com's Answer #538407 by Fombitz(32388) $\"\"$ $\"About$

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The point of intersection would be the intersection of the two lines,
\n" ); document.write( " $\"5x%2B6y=30\"$
\n" ); document.write( " $\"7x%2B8y=-56\"$
\n" ); document.write( "Multiply eq. 1 by 7 and eq. 2 by (-5) and add them together,
\n" ); document.write( " $\"35x%2B42y-35x-40y=210%2B280\"$
\n" ); document.write( " $\"2y=490\"$
\n" ); document.write( " $\"highlight%28y=245%29\"$
\n" ); document.write( "Then use either equation to solve for $\"x\"$ .
\n" ); document.write( " $\"5x%2B6%28245%29=30\"$
\n" ); document.write( " $\"5x%2B1470=30\"$
\n" ); document.write( " $\"5x=-1440\"$
\n" ); document.write( " $\"highlight%28x=-288%29\"$
\n" ); document.write( " \n" ); document.write( "

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